ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

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Viscous dissipation effect on natural convection in a fluid saturated porous medium
This paper considers the problem of viscous dissipation effects on non-Darcy natural convection over a vertical flat plate embedded in a fluid-saturated porous medium. Forchheimer extension is considered in the flow equations and its contribution to viscous dissipation is considered in the energy equation. The nondimensional governing equations are solved, numerically, by the finite-element method (FEM). The resulting nonlinear integral ... Read more

Effects of magnetohydrodynamic flow past a vertical plate with variable surface temperature
An analysis is performed to study the magnetohydrodynamic flow of an electrically conducting, viscous incompressible fluid past a semi-infinite vertical plate with variable surface temperature under the action of transversely applied magnetic field. The heat due to viscous dissipation and the induced magnetic field are assumed to be negligible. The dimensionless governing equations are unsteady, two-dimensional, coupled and non-linear governing ... Read more

Effect of Rotation on Thermoelastic Waves with Green-Naghdi Theory in a Homogeneous Isotropic Hollow Cylinder
A new model of the equations of generalized thermoelasticiy for a material of the cylinder which is supposed to be homogeneous isotropic thermally conducting is given. The formulation is applied in the context of Green and Naghdi (GN) theory of types II and III under the e ect of rotation. The problem has been solved numerically using a nite element ... Read more

Generalized magneto-thermoelasticity in a nonhomogeneous isotropic hollow cylinder using the finite element method
In this paper, we constructed the equations of generalized magneto-thermoelasticity in a perfectly conducting medium. The formulation is applied to generalizations, the Lord–Shulman theory with one relaxation time, and the Green–Lindsay theory with two relaxation times, as well as to the coupled theory. The material of the cylinder is supposed to be nonhomogeneous isotropic both mechanically and thermally. The problem ... Read more

Free convection MHD flow with thermal radiation from an impulsivelystarted vertical plate
This paper investigates the combined effects of magnetohydrodynamics and radiation on free convection flow past an impulsively started isothermal vertical plate with Rosseland diffusion approximation. The fluid considered is a gray, absorbingemitting radiation but a non-scattering medium, with approximate transformations the boundary layer governing the flow are reduced to non-dimensional equations valid in the free convection regime. The dimensionless governing ... Read more

Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction
An analysis is carried out to study the flow, chemical reaction and mass transfer of a steady laminar boundary layer of an electrically conducting and heat generating fluid driven by a continuously moving porous surface embedded in a non-Darcian porous medium in the presence of a transfer magnetic field. The governing partial differential equations are converted into ordinary differential equations ... Read more

Effect of thermal dispersion on free convection in a fluid saturated porous medium
The present article considers a numerical study of thermal dispersion effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. Forchheimer extension is considered in the flow equations. The coefficient of thermal diffusivity has been assumed to be the sum of molecular diffusivity and the dispersion thermal diffusivity due to mechanical dispersion. The ... Read more

Finite element analysis of two-temperature generalized magneto-thermoelasticity
A general finite element model is proposed to analyze transient phenomena in thermoelastic solids. Youssef model of two-temperature generalized magneto-thermoelasticity is selected for an homogenous, isotropic, conducting and elastic medium, which is subjected to thermal shock, and a magnetic field with constant intensity acts tangent to the bounding plane. The numerical solution of the nondimensional governing partial differential equations of ... Read more

Boundary layer natural convection in a fluid saturated porous medium using finite element method
The present paper considers a numerical study of the non-Darcy natural convection over a vertical flat plate in a fluid-saturated porous medium. Forchheimer extension is considered in the flow equations. The nondimensional governing equations are solved by the finite element method. The resulting nonlinear integral equations are linearized and solved using the Newton− Raphson iteration. The finite element implementations are ... Read more

Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity
Thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity are studied. The cavity surface is subjected to ramp-type heating of its internal boundary, which is assumed to be traction free. Lord–Shulman and Green–Lindsay models for the generalized thermoelasticity theories are selected since they allow for second-sound effects and reduce to the classical model for an appropriate choice ... Read more